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System reliability of a manufacturing network with reworking action and different failure rates

机译：具有返工动作和不同故障率的制造网络的系统可靠性

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摘要

From the perspective of network analysis, the manufacturing system can be constructed as a stochastic-flow network, since the capacity of each machine is stochastic (i.e. multistate) owing to the failure, partial failure, and maintenance. Considering reworking action and different failure rates of machines, the input flow (raw materials/work in process) processed by each machine might be defective, and therefore the output flow (work in process/products) would be less than the input amount. To evaluate the capability of the manufacturing system, we measure the probability that the manufacturing network can satisfy demand. Such a probability is defined as the system reliability. A decomposition method is first proposed to divide the manufacturing network into one general processing path and one reworking path. Subsequently, two algorithms are utilised for different network models to generate the lower boundary vector of machine capacity to guarantee that the manufacturing network is able to produce sufficient products fulfilling the demand. The system reliability of the manufacturing network can be derived in terms of such a capacity vector afterwards.
机译：从网络分析的角度来看，制造系统可以构造为随机流网络，因为由于故障，部分故障和维护，每台机器的容量都是随机的（即多状态）。考虑到返工动作和机器的不同故障率，每台机器处理的输入流（原材料/在制品）可能是有缺陷的，因此输出流（在制品/产品）将小于输入量。为了评估制造系统的能力，我们测量制造网络可以满足需求的概率。将该概率定义为系统可靠性。首先提出一种分解方法，将制造网络分为一条通用加工路径和一条返工路径。随后，针对不同的网络模型使用两种算法来生成机器容量的下边界向量，以确保制造网络能够生产出满足需求的足够产品。之后，可以根据这样的容量向量得出制造网络的系统可靠性。

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